The generating functional of the lsing model is studied. Equations of motion for the generating functional and the hierarchy of Green's functions are derived. These equations resemble a scalar field theory with nonlinear derivative coupling. Such a formulation bridges the gap between the Ising model
Discrete Green's functions and hybrid modelling of thermal and particle diffusion
β Scribed by D. De Cogan; P. Enders
- Publisher
- John Wiley and Sons
- Year
- 1994
- Tongue
- English
- Weight
- 723 KB
- Volume
- 7
- Category
- Article
- ISSN
- 0894-3370
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β¦ Synopsis
This paper provides details of a widely applicable technique of hybrid modelling of thermal and particle diffusion which can help to reduce computational load in explicit formulations. The undesirable effects of artificial boundaries, which are introduced when a simulation is truncated or when an expanding mesh is used, can be eliminated by the use of discrete Green's functions. The technique can also be applied to problems involving infinite or near-infinite domains or problems where a complex thermal region is embedded within a larger, more simply described domain.
π SIMILAR VOLUMES
We show that, apart from a few differences;the equations-of-motion method of h ΒΆcKoy et al. provides the Ieading COTrection to the random phase approximation (with exchange). in ths fully renkmalized responx function (density-density correlation function). Thus, their equations-of-motion method is s
A new hybrid TLM-FDTD algorithm for solving di!usion problems is described. The method utilizes the transmission line model to de"ne the time step and the FDTD's leap-frog algorithm to determine the voltages and currents of the network analogue of the di!usion equation. Unlike the standard TLM metho
A set of closed-form Green's functions is used in a mixed-potential integral-equation technique for the efficient modeling of planar microstrip structures of arbitrary shape on an electrically thin substrate. Various MMIC and microstrip antenna structures are simulated. It is shown that excellent ac
U . I(. ## 1. Introduction The application of the transmission line matrix method (TLM) to electromagnetic problems is well established. 1-5 More recently TLM has been applied to problems in diffusion.6 TLM has been applied successfully to thermal diffusion in one, and three dimensions.8 Results h